Chebyshev's inequality

Chebyshev's inequality is a way to figure out how many of something are likely to be a particular value. It works by looking at how spread out the values are. To use an example, let's say that you have five apples. You might have one apple that's very small, one apple that's very big, one that's medium size, and two that are somewhere in between. We can use Chebyshev's Inequality to figure out how likely it is that one of those apples will be big.

Basically, Chebyshev's Inequality tells us that if all the values are spread out a lot (like the five apples), then it's less likely that one of them will be extremely big or extremely small. On the other hand, if all of the values are closer together (like if the five apples are all pretty much the same size), then it's more likely that one of them will be big or small.

In other words, Chebyshev's Inequality is a way to figure out how likely it is that one of a set of numbers will be a certain value.